In this Letter,
we have eliminated the spin-flipping components from the SOC,
thus focusing only the spin-filtering effect and neglecting the spin-polarizing effect of chiral molecules.
However,
a chirality-induced bulk magnetization of CrNb3S6
seems to require the mechanisms that include the spin-polarizing effect [1]}.
Therefore, CISS seems to include both spin-filtering and spin-polarizing effects depending on the situations.
In our model,
as given explicitly in the Supplemental Material,
we are also able to allow the nuclear-dependent SOC come into play,
yielding the spin-flipping terms
such as \(({\phi _+}-{\phi _-}) \otimes ( Q_+ \hat{\sigma }_+ + Q_- \hat{\sigma }_-)\)  and \(i({\phi _z}-*{\bar{\phi }_z}) \otimes ( Q_+ \hat{\sigma }_+ - Q_- \hat{\sigma }_-)\)  with \(\hat{\sigma }_+ = {\uparrow }{\downarrow }\)  and \(\hat{\sigma }_- = {\downarrow }{\uparrow }\) .
These terms allow AM transfer from nuclear phonon to electron spin, thus polarizing the spin in the chiral molecule while respecting the conservation of AM.
This AM conversion may be further enhanced when the molecule involves conical intersections on the adiabatic potential energy surfaces [2]}, [3]}.
We here note that the current-induced magnetization phenomena, called the Edelstein effect,
is apparently similar to the CISS effect from a global symmetry viewpoint.
This effect is, however, interpreted as being mainly dominated by orbital effects [4]}, [5]}
and the resultant magnetization is much weaker than huge polarization caused by the CISS effect.
The relevance of the spin-flipping components of the SOC to the spin-polarizing effect will be focused on in future studies.
